Answer:
13 mi
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 +12^2 = c^2
25+144 = c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 = c
Lines c and d are parallel lines cut by transversal p.
Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Which must be true by the corresponding angles theorem?
A. ∠1 ≅ ∠7
B. ∠2 ≅ ∠6
C. ∠3 ≅ ∠5
D. ∠5 ≅ ∠7
Answer:
Option (B).
Step-by-step explanation:
Here there are two parallel lines c and d cuts by a transversal p.
The angles are formed as shown in diagram.
Here,
[tex]\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)[/tex]
So, the option (B) is correct.
The difference between the length and width of a rectangle is 7 units. The perimeter is 50 units. Find the dimensions.
Answer:
Step-by-step explanation:
Hello!
(x +x+7)*2 = 50
(2x+7)*2 = 50
4x+14= 50
4x= 50-14
4x= 36
x= 36/4
x= 9
9 et 16cm
Let j=+5 - 5+ |-5 x 1/5
What is the value of+J?
Answer:
j=|x|
Step-by-step explanation:
Solve EFD. Round the answers to the nearest hundredth.
A. m F ≈ 26, m D ≈ 64.01, FD = 7,921
B. m F ≈ 26, m D ≈ 64.01, FD = 89
C. m F ≈ 64.01, m D ≈ 26, FD = 89
D. m F ≈ 64.01, m D ≈ 26, FD = 7,921
Answer:
Option B
<F = 26°
<D = 64.01°
FD = 89
Answered by GAUTHMATH
For right triangle EFD, m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89
The correct answer is an option (B)
What is hypotenuse?It is the longest side of the right triangle.
What is Pythagoras theorem?For a right triangle,
[tex]a^{2}+ b^{2} = c^{2}[/tex], where c is hypotenuse and a, b area other two sides of the right triangle
For given example,
We have been given a right triangle EFD with hypotenuse FD.
Also, EF = 80, ED = 39
Using the Pythagoras theorem,
[tex]\Rightarrow FD^{2}= EF^{2} + ED^{2}\\\\ \Rightarrow FD^{2}= 80^{2} + 39^{2}\\\\ \Rightarrow FD^2 = 6400 + 1521\\\\ \Rightarrow FD^2 = 7921\\\\\Rightarrow FD = 89[/tex]
Consider, sin(F)
[tex]\Rightarrow sin(F)=\frac{ED}{FD} \\\\\Rightarrow sin(F)=\frac{39}{89}\\\\ \Rightarrow sin(F)=0.4382\\\\\Rightarrow \angle F=sin^{-1}(0.4382)\\\\\Rightarrow \angle F=25.98^{\circ}\\\\\Rightarrow \angle F\approx 26^{\circ}[/tex]
Now, consider sin(D)
[tex]\Rightarrow sin(D)=\frac{FE}{FD}\\\\ \Rightarrow sin(D)=\frac{80}{89}\\\\ \Rightarrow \angle D = sin^{-1}(0.8988)\\\\\Rightarrow \angle D = 64.009^{\circ}\\\\\Rightarrow \angle D \approx 64.01^{\circ}[/tex]
Therefore, for right triangle EFD, m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89
The correct answer is an option (B)
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
What is 3/4 as a percentage
Answer:
75%
Step-by-step explanation:
A percent is a value out of 100.
Change the fraction [tex]\frac{3}{4}[/tex] to an equivalent fraction with the denominator equal to 100.
[tex]\frac{3}{4}[/tex] × [tex]\frac{25}{25}[/tex] = [tex]\frac{75}{100}[/tex]
This fraction represents a percent.
[tex]\frac{75}{100}[/tex] = 75%
Ethan says that (2x+5)/2 can be reduced to x + 5. Braylon says this is not correct. Who is right and why?
Answer:Braylon is right
Step-by-step explanation:
it is reduced to x+5/2
Answer:
Braylon is correct, after dividing the numbers given I got _::x+5/2::_
and it cant be simplified more
Si un proyectil asciende verticalmente, y después de 3 segundos alcanza su altura máxima, calcule la velocidad que lleva a la mitad de su trayectoria descendente
Answer:
The speed is 20.8 m/s
Step-by-step explanation:
If a projectile ascends vertically, and after 3 seconds it reaches its maximum height, calculate the velocity that it carries to the middle of its downward trajectory
Let the maximum height is h and initial velocity is u.
From first equation of motion
v = u + at
0 = u - g x 3
u = 3 g.....(1)
Use third equation of motion
[tex]v^2 = u^2 - 2 gh \\\\0 = 9 g^2 - 2 gh \\\\h = 4.5 g[/tex]
Let the speed at half the height is v'.
[tex]v^2 = u^2 + 2 gh \\\\v'^2 = 0 + 2 g\times 2.25 g\\\\v'^2 = 4.5\times 9.8\times9.8\\\\v' = 20.8 m/s[/tex]
I’m stuck on this one help anyone?
Answer:
just add a small amount to the 2.8 and square the result
Step-by-step explanation:
x x^2
2.8 7.84
2.81 7.8961
2.82 7.9524
2.83 8.0089
2.84 8.0656
2.85 8.1225
2.86 8.1796
2.87 8.2369
Two legs of a right triangle measure 23 inches and 38 inches. What is the length of the hypotenuse, to the nearest
inch?
Answer:
hypotenuse ≈ 44 inches
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
let the hypotenuse be h , then
h² = 23² + 38² = 529 + 1444 = 1973 ( take square root of both sides )
h = [tex]\sqrt{1973}[/tex] ≈ 44 inches ( to the nearest inch )
How many tacos could you buy on a Wednesday with 20 dollars and tacos cost 50. cents
Answer:
40 tacos
Step-by-step explanation:
Step 1: Determine how many tacos you can buy
Cost of one taco: $0.50
Money in wallet: $20
So for every $1 you can buy 2 tacos. Therefore, 20 * 2 = 40 tacos
Answer: 40 tacos
Answer:40 tacos
Step-by-step explanation: because yeah
Choose the correct description of the graph of the inequality X - 3 greater than or equal to 25
A. Open circle on 8, shading to the left
B. Closed circle on 8, shading to the left.
C. Open circle on 8, shading to the right.
D. Closed circle on 8, shading to the right.
I’m pretty sure it’s D
Answer:
D. Closed circle on 8, shading to the right.
How much money invested at 3% compounded monthly for 3 years will yield $520?
$179.42
$475.30
$358.84
$148.78
Answer:
Step-by-step explanation:
Use this formula:
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount after the compounding is done, P is the initial investment (our unknown), r is the interest rate in decimal form, n is the number of compoundings per year, and t is the time in years. Filling in:
[tex]520=P(1+\frac{.03}{12})^{(12)(3)}[/tex] and simplifying that a bit:
[tex]520=P(1+.0025)^{36[/tex] and a bit more:
[tex]520=P(1.0025)^{36[/tex] and even bit more:
520 = P(1.094551401) and divide to get
P = $475.30
Mr. Mancuso plants tomatoes on 1/3 acre of land, corn on 3/4 acre, and carrots on 1/2 acre. On how many acres of land total did he plant?
1 acres
1 acres
1 acres
2 acres
Answer:
1 7/12 acres of land
Step-by-step explanation:
Tomatoes = 1/3 acre of land
Corn = 3/4 acre of land
Carrots = 1/2 acre of land
Total acres of land he planted = tomatoes + corn + carrots
= 1/3 + 3/4 + 1/2
= (4+9+6) / 12
= 19/12 acres
= 1 7/12 acres of land
Or
= 1.5833333333333 acres
Total acres of land he planted = 1 7/12 acres of land
None of the given options is correct
In a shipment of airplane parts, 6% are known to be defective. If 42 parts are found to be defective, how many parts are in the shipment?
Answer:
700 parts
Step-by-step explanation:
To find the total amount of parts in the shipment, all we need to do is divide.
6% = 0.06
42 / 0.06 = 700
Best of Luck!
When solving a quadratic in the form a x squared + b x + c = 0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? a. exponents c. zeros b. quadratics d. variables Please select the best answer from the choices provided A B C D
A=131+122+199+204 trả lời cho tớ đi
Answer:
A=656 trả lời cho tớ đi...
what is the measure of arc MP
Answer:
[tex]m\widehat{MP}=118^{\circ}[/tex]
Step-by-step explanation:
In any circle, the measure of an inscribed angle (an angle created when the intersection of two chords is on the circle) is equal to half of the arc it forms. In this case, [tex]\angle MPN[/tex] is an inscribed angle that forms [tex]\widehat{MN}[/tex]. Therefore, the measure of arc MN must be twice the measure of angle MPN:
[tex]m\widehat{MN}=2\cdot m\angle MPN,\\m\widehat{MN}=2\cdot 31^{\circ}=62^{\circ}[/tex]
Since we want to find the measure of arc MP, we need to know that there are 360 degrees in a circle. Since [tex]\overline{PN}[/tex] is a diameter of the circle (line that has two endpoints on the circle and that passes through the center of the circle), each side of [tex]\overline{PN}[/tex] must be 180 degrees.
Therefore, we have:
[tex]m\widehat{MN}+m\widehat{MP}=180^{\circ},\\62^{\circ}+m\widehat{MP}=180^{\circ},\\m\widehat{MP}=\boxed{118^{\circ}}[/tex]
1. The parameter "a": Compare the graphs of several different exponential growth functions in
Mathematica to discover the significance of the parameter "a". Explain in detail what the
parameter "a" tells you about the graph of an exponential growth function.
Answer:
See explanation
Step-by-step explanation:
Required
The significance of "a" in exponential function
An exponential function is represented as:
[tex]y = ab^x[/tex]
In the above equation, parameter "a" is the initial value of the function
In other words, the value of the function when x = 0
Take for instance;
[tex]y = 2*4^x[/tex]
[tex]a = 2[/tex] because when [tex]x = 0[/tex]
[tex]y = 2 * 4^0[/tex]
[tex]y = 2 * 1[/tex]
[tex]y = 2[/tex]
Another significance of parameter a is that; it is the y-intercept of the geometric function.
What is the equation of a circle with its center at (−6,−3) and a radius of 12?
Answer:
(x+6)^2 + ( y +3)^2 = 144
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -6)^2 + ( y - -3)^2 = 12^2
(x+6)^2 + ( y +3)^2 = 144
Answer:
x² + y² + 12x +6y - 99 = 0
Step-by-step explanation:
Given :
Centre = (-6,-3) Radius = 12 ,Using the Standard equation of circle ,
( x - h)² + (y-k)² = r² ( x +6)² + (y+3)² = 12² x² + 36 + 12x + y² + 9 + 6y = 144 x² + y² + 12x + 6y +45-144 = 0 x² + y² + 12x +6y - 99 = 02. En una división el dividendo es 445, el divisor es 32, el cociente es 14 y el resto es 7. ¿Está bien hecha? Compruébalo de dos maneras diferentes
Respuesta:
El cálculo no está bien hecho.
el cociente es 13
El resto es 29
Explicación paso a paso:
Dividendo = 445
Divisor = 32
Cociente = 14
Resto = 7
445/32 = 13,90625
El cociente = 13
Resto = (13.90625 - 13) * 32
Resto = 0.90625 * 32
Resto = 29
Por lo tanto, el cálculo no se realiza correctamente ya que el cociente es 13 y el resto es 29
Consider the following 8 numbers, where one labelled x
is unknown.
27, 20, 34,
x, 7, 47, 26, 41
Given that the range of the numbers is 63,
work out 2 values of x
Answer: 70 and -16
==========================================================
Explanation:
For now, we'll assume x is the largest value (aka the max)
Let's sort the values from smallest to largest.
7, 20, 26, 27, 34, 41, 47, x
We see that 7 is the smallest item, so,
range = max - min = x - 7
Set this equal to 63 and solve for x
x-7 = 63
x = 63+7
x = 70
So x could be equal to 70.
---------------------------
Next, we'll assume that x is the smallest value
That means the min is x and 47 is now the max
max - min = range
47 - x = 63
-x = 63-47
-x = 16
x = -16
So if x is the smallest value, then it must be -16
----------------------------
Finally, we'll let x be somewhere between 7 and 47
Unfortunately, we can't pin down a specific value here since we could have lots of possible values. Three such examples are x = 8, x = 9, and x = 10. There are many others.
If your teacher is looking for 2 values only, then I would refer to the previous two sections and ignore this section entirely.
Which graph shows the solution set of
What expression is equal to (3 x 5) x 4
Answer:
60
Step-by-step explanation:
Step 1:
3 x 5 = 15
Step 2:
15 x 4 = 60
Answer:
well 3. x 5 is 15, then multiply by 4 to get 60.
Step-by-step explanation:
Someone help me pls ..
Answer:
because they are both in the circle
Step-by-step explanation:
3c + 2 = -22
whats c?
3c+ 2= -22
⇔3c = -22 -2
⇔3c = -24
⇔c= -24/3
⇔c=- 8
Answer:
3c= -22-2
3c= -24
c= -24/3
c= -8
Step-by-step explanation:
if x=3√8, find the value of 1/x
plz its urgent
Answer:
[tex]\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}[/tex]
What is sin 28°?
62
8
17
90
15
28
A.
Sooden
O c.
O
Answer:
the sin of 28 degree is 28
Step-by-step explanation:
it's the same degree in radians I hope this help
Find the value of DE.
Answer:
DE = 5
Step-by-step explanation:
The 3 sides of the triangle are congruent , then
DF = EF , that is
[tex]\frac{2}{5}[/tex] a - 15 = [tex]\frac{1}{5}[/tex] a - 5 ( multiply through by 5 to clear the fractions )
2a - 75 = a - 25 ( subtract a from both sides )
a - 75 = - 25 ( add 75 to both sides )
a = 50
Then
DE = EF = [tex]\frac{1}{5}[/tex] × 50 - 5 = 10 - 5 = 5
If [tex]x[/tex] is real and p=[tex]\frac{3(x^{2} +1)}{2x-1}[/tex], prove that [tex]p^{2}[/tex]-3(p+3) ≥ 0
Answer:
[tex]{ \tt{p=\frac{3(x^{2} +1)}{2x-1}}} \\ { \tt{p(2x - 1) = 3( {x}^{2} + 1) }} \\ { \tt{2px - p = 3 {x}^{2} + 3 }} \\ { \tt{3 {x}^{2} - (2p)x + (p + 3) = 0}} [/tex]
By factorization :
[tex]{ \tt{ ( {p}^{2} - 3)( p + 3) \: is \: the \: zero}}[/tex]
Since the roots are real, they're greater than zero ( 0 < x ≤ +∞ ):
[tex]{ \tt{ ({p}^{2} - 3})(p + 3) \geqslant 0}[/tex]
PLEASE HELP, AND FAST! I WILL GIVE BRAINLIEST!!
Given the expression: 6x10 − 96x2
Part A: Rewrite the expression by factoring out the greatest common factor.
Part B: Factor the entire expression completely. SHOW THE STEPS OF YOUR WORK.
Answer:
Step-by-step explanation:
factor the numerical coefficients (6 and 96)
HCF 6 and 96 is 6
HCF x^10 and x^2 = x^2
HCF: 6x^2
(6* x^8*x^2 - 16*6 x^2) Take out the highest common factor
6x^2 (x^8 - 16)